Primitive funktion

Mar 2010
14
0
Need a little help here... :p

what is the primitive funktion of:

\(\displaystyle (0,5x^2)^2\)

and what is the way of finding it?

Best regards
 
Apr 2010
57
19
Need a little help here... :p

what is the primitive funktion of:

\(\displaystyle (0,5x^2)^2\)

and what is the way of finding it?

Best regards
I don't understand the equation you wrote down...

The primitive function is the antiderivative.

So if the function were \(\displaystyle (5x^2)^2=25x^4\)

then the primitive function is \(\displaystyle 5x^5\) because when you take its derivative, you get \(\displaystyle 25x^4\)
 
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Mar 2010
14
0
aha, it was the outer square of the equation that had me dazzled.

the equation was: \(\displaystyle ((x^2)/2)^2\)

so that correct answer should be:
\(\displaystyle 0,05x^5\)?

Thanx for the quick reply by the way
 
Apr 2010
57
19
aha, it was the outer square of the equation that had me dazzled.

the equation was: \(\displaystyle ((x^2)/2)^2\)

so that correct answer should be:
\(\displaystyle 0,05x^5\)?

Thanx for the quick reply by the way
The answer would be \(\displaystyle \frac{x^5}{20}+C\)

the C is necessary because its some unknown constant.
 
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Mar 2010
14
0
Not in this case ;)

I was looking for the primitiv form in a integral so the C is not necessery this time :)

Thank you for the help!
Really appreciate it